Timeline for Matrix factorization categories beyond the isolated singularity case
Current License: CC BY-SA 2.5
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Aug 27, 2010 at 23:18 | comment | added | Daniel Pomerleano | Thanks Jesse! You summarize a lot of the main ideas/issues really well! I didn't know this theorem about the bounded category of coherent modules. I'm used to thinking that perfect modules are better than D^b(CohX) when X isn't smooth so this is really surprising to me. I think I maybe able to use this observation to prove what I want, I'll have to check. One final subtlety, which I added in an edit and maybe you didn't catch is that I want to consider matrix factorizations of possibly infinite rank... because otherwise the notion of compact doesn't make sense at all. I noted the 1-d case too. | |
Aug 27, 2010 at 22:59 | history | answered | Jesse Burke | CC BY-SA 2.5 |